Journal article

### The anisotropic Lagrangian averaged Euler and Navier-Stokes equations

Abstract:

The purpose of this paper is twofold. First, we give a derivation of the Lagrangian averaged Euler (LAE-α) and Navier-Stokes (LANS-α) equations. This theory involves a spatial scale α and the equations are designed to accurately capture the dynamics of the Euler and Navier-Stokes equations at length scales larger than α, while averaging the motion at scales smaller than α. The derivation involves an averaging procedure that combines ideas from both the material (Lagrangian) and spatial (Euler...

### Access Document

Publisher copy:
10.1007/s00205-002-0207-8

### Authors

Marsden, JE More by this author
Shkoller, S More by this author
Journal:
Archive for Rational Mechanics and Analysis
Volume:
166
Issue:
1
Pages:
27-46
Publication date:
2003-01-05
DOI:
EISSN:
1432-0673
ISSN:
0003-9527
URN:
uuid:4dafe28b-b707-4e93-8d4b-1571bcea2fa7
Source identifiers:
404782
Local pid:
pubs:404782
Language:
English